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Finding the Fourth Proportional to 6,143.70, 9,215.53 and 1,526.70

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Solution

The fourth proportional to 6,143.70, 9,215.53 and 1,526.70 is: 2,290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.70 : 9,215.53 = 1,526.70 : x
  2. Step 2: Convert to fraction form
    6,143.70/9,215.53 = 1,526.70/x
  3. Step 3: Cross multiply
    6,143.70x = 9,215.53 × 1,526.70
  4. Step 4: Simplify right side
    6,143.70x = 14,069,349.65
  5. Step 5: Solve for x
    x = 14,069,349.65/6,143.70
  6. Step 6: Final answer
    x = 2,290.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.